Answer: 15.278 units
Step-by-step explanation: Given that the minor arc GU = 24 units and major arc mGU = 270º, then
The angle of the minor arc will be
360 - 270 = 90 degree
Length of an arc = Ø/360 × 2πr
24 = 90/360 × 2πr
2πr = 96
r = 96/2π
r = 15.2789 cm
Answer:
y+a+x=b
Step-by-step explanation:
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Answer:
L = 5 m
Step-by-step explanation:
The ladder, the vertical wall and the ground form a right triangle. We call A and B the ends points of the ladder ( at the wall, and the ground)
If we call L the lenght of the leadder, we get
L² = y² + x²
Taking derivatives on both sides of the equation
0 = 2y Dy/dt + 2x Dx/dt
We know that Dy/dt = - 0,675 m/s (is sliding down , is decreasing)
And when x = 3 m Dx/dt = 0,9 m/s
So we can get y
0 = 2y*( -0,675) + 2*3*0,9
1,35y = 5,4
y = 5.4 /1,35 ⇒ y = 4
And L² = y² + x² ⇒ L = √ (4)² + (3)² ⇒ L √16 + 9
L = 5 m
We can ise Pythagorean triplet which is ( 12 , 16 , 20 )
Therefore the answer is 16.
Step-by-step explanation:
Or we can use Pythagoras theorem , stated as ;
( hyp )^2 = ( adj )^2 + ( opp )^2
hyp ( hypotenuse ) = 20
We can assume the adj ( adjacent ) = 12
By substituting the values ,
20^2 = 12^2 + ( adj )^2
400 = 144 + ( adj )^2
400 - 144 = ( adj )^2
256 = ( adj )^2
Take the square root of both sides
✓256 = adj
16 = adj
Therefore the length of the other leg which is the adjacent( adj ) side is 16.